Table of Contents

## Why do we use F max test?

In statistics, Hartley’s test, also known as the Fmax test or Hartley’s Fmax, is used in the analysis of variance to verify that different groups have a similar variance, an assumption needed for other statistical tests.

## How is f max calculated?

If the number of teeth in the gear are known, the formula is 3.25 times the teeth number, multiplied by the RPM. An example of this would be if the number of teeth was 17, and the RPM was 1750, F-MAX would be 97,000x.

**How do you find homogeneity of variance?**

Generally, tests of homogeneity of variance are tests on the deviations (squared or absolute) of scores from the sample mean or median. If, for example, Group A’s deviations from the mean or median are larger than Group B’s deviations, then it can be said that Group A’s variance is larger than Group B’s.

### What is Hartley’s F max test?

What is The Fmax Test? The Fmax test (also called Hartley’s Fmax) is a test for homogeneity of variance. In other words, the spread (variance) of your data should be similar across groups or levels. Compared to Levene’s test, Hartley’s test is fairly simple to figure out by hand.

### How do I report Levenes?

Levene’s test indicated unequal variances (F = 3.56, p = . 043), so degrees of freedom were adjusted from 734 to 340. ANOVAs have two degrees of freedom to report. Report the between-groups df first and the within-groups df second, separated by a comma and a space (e.g., F(1, 237) = 3.45).

**Do you want Levene’s test to be significant?**

The literature across the internet says that if Levene’s Test is significant, then ANOVA and Post Hoc should not be applied. The data seems normal according to Kolmogorov-Smirnov and Shapiro-Wilk normality test. Both show the insignificant value for these tests.

#### What is the Fmax test in statistics?

What is The Fmax Test? The Fmax test (also called Hartley’s Fmax) is a test for homogeneity of variance. In other words, the spread ( variance) of your data should be similar across groups or levels. Compared to Levene’s test, Hartley’s test is fairly simple to figure out by hand.

#### What is the use of F test in statistics?

F-Test formula can be used in a wide variety of settings. F-Test is used to test the hypothesis that the variances of two populations are equal. Secondly, it is used for testing the hypothesis that the means of given populations that are normally distributed, having the same standard deviation, are equal.

**What are the assumptions of Hartley’s Fmax test?**

An assumption of the Fmax test is that there are an equal number of participants in each group. Example question: Run Hartley’s Fmax test for two conditions X and Y. Each condition (level) has 10 participants with variances of X = 12 and Y = 4. Step 1: Find the variances for each group/level/condition.

## What is the formula for calculating f max?

The statistic F max is calculated as the ratio of the largest and smallest variances of the (k) groups each containing (n) observations: Algebraically speaking – Fmax = s 2largest s 2smallest where s 2largest is the largest of the group variances, s 2smallest is the smallest of the group variances,